Home/Differential Calculus/Taylor polynomial/Formula11.1. Taylor polynomialFormulaIn 11.1. Taylor polynomialFormulaCopy LaTeXf(x)=Pn(x)+Rn(x)f(x)=P_n(x)+R_n(x)f(x)=Pn(x)+Rn(x)TagsDifferential calculusDerivativeDerivative formulaTaylor polynomialTaylorDetailDecomposition: function = approximation + remainder.VariablesxxxIndependent variablefffFunctionnnnDerivative order or exponentRelated topicsTaylor seriesFound an error? Contact us.Related formulasRelatedFormulaPn(x)=∑k=0nf(k)(a)k!(x−a)kP_n(x)=\sum_{k=0}^{n}\frac{f^{(k)}(a)}{k!}(x-a)^kPn(x)=k=0∑nk!f(k)(a)(x−a)kOpen formulaOpen in sectionRelatedFormulaex=1+x+x22!+x33!+⋯e^x=1+x+\frac{x^2}{2!}+\frac{x^3}{3!}+\cdotsex=1+x+2!x2+3!x3+⋯Open formulaOpen in section